Text only print
Full screen print
Geometry Colloquium
Seminar information archive ～03/17｜Next seminar｜Future seminars 03/18～
| Date, time & place | Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2012/12/05
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Hiroaki Ishida (Osaka City University Advanced Mathematical Institute)
Maximal torus actions on complex manifolds (JAPANESE)
Hiroaki Ishida (Osaka City University Advanced Mathematical Institute)
Maximal torus actions on complex manifolds (JAPANESE)
[ Abstract ]
We say that an effective action of a compact torus $T$ on a connected manifold $M$ is maximal if there is an orbit of dimension $2\\dim T-\\dim M$. In this talk, we give a one-to-one correspondence between the family of connected closed complex manifolds with maximal torus actions and the family of certain combinatorial objects, which is a generalization of the correspondence between complete nonsingular toric varieties and nonsingular complete fans. As an application, we construct a lot of concrete examples of non-K\\"{a}hler manifolds with maximal torus actions.
We say that an effective action of a compact torus $T$ on a connected manifold $M$ is maximal if there is an orbit of dimension $2\\dim T-\\dim M$. In this talk, we give a one-to-one correspondence between the family of connected closed complex manifolds with maximal torus actions and the family of certain combinatorial objects, which is a generalization of the correspondence between complete nonsingular toric varieties and nonsingular complete fans. As an application, we construct a lot of concrete examples of non-K\\"{a}hler manifolds with maximal torus actions.
